# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1215
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1215?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1158, page id 1815201908:1215
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1215
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001215.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

patud.
EV ADR A ZV R A CtR CY L L
que ex V, linca V Y parallela F C, occurrens TL produccx in Y. VcDSad D Y,
ater +4. ica reccangulum N S Lad F. F V, hoc estIS X per ea qua de parabolaa praemisimus.
reccangulum LIN aequacur recrangulis ISNVE, de STNI addacur commune
L SN, erit LIN cum L SN xquale hiscribus L SNVI, SINL, L SN. CcdSINIX.
Quatur PE ST, ergO L IN cum C. SN, aequacur L SNI, YL SL, L SII. sed haec
eria consiciunerecrangulum YSI sinc IS X, nami duo L. SNL. L SN FaCIUNEFCCTaN.
sulum L. SI, cui Baddis YL SI, ConHatuE reccansulum YSI. ergo ZSI aquacuE
LSN, cum L. IN. rursusigicur dividendo reD S adSF, ira rectangulum L. SN ad
rectangulum P IH. Ouoderac propolicum.
PR OPOSYTIO LXXIX.
Udempolicis.
Dico rectangula MHK, NIL. esfeiritet se xqualia.
Emonstracio habecur lib. de Parabola propol. 45.
P R O P OSITIO LZ XX.
Arabolam AB C cuius axis AD, contingac A E in vertice A: sieque
B F ordinacim ad axem polica diuidens axem AD bitariam in F,
eductaque DC quae aequidistet F B, ponancur diameeris parallela C. O,
BE, FOrMANEES CUM A F, F G, rectangula GFD; E AF. Factis deinde
CTI, BI incer se xqualibus residuisque HIG, TE Bitariam in L. _ K divi-
sis, posiris quoque FIN, L. P, _ IM, HO quae aequidistene ordinarim
constiruris ad axem, Formentur rectangula L. R, R V, GT, L. S _E F.O,
KMI, GP, L. N.
Dicorectangulum F. R ad C T rectangulum, candem HaberC PFOPOT.
tionem quam C P rectangulum ad rectangulum F. C.
Demon